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Finding the Fourth Proportional to 506.86, 694.17 and 490.46

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Solution

The fourth proportional to 506.86, 694.17 and 490.46 is: 671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.86 : 694.17 = 490.46 : x
  2. Step 2: Convert to fraction form
    506.86/694.17 = 490.46/x
  3. Step 3: Cross multiply
    506.86x = 694.17 × 490.46
  4. Step 4: Simplify right side
    506.86x = 340,459.15
  5. Step 5: Solve for x
    x = 340,459.15/506.86
  6. Step 6: Final answer
    x = 671.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.